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Communications in Mathematical Analysis and Applications最新文献

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A Local Inverse Conical Shock Problem for the Steady Supersonic Potential Flow 稳定超音速势能流的局部反锥形冲击问题
Communications in Mathematical Analysis and Applications Pub Date : 2024-06-01 DOI: 10.4208/cmaa.2024-0012
Yongqian Zhang
{"title":"A Local Inverse Conical Shock Problem for the Steady Supersonic Potential Flow","authors":"Yongqian Zhang","doi":"10.4208/cmaa.2024-0012","DOIUrl":"https://doi.org/10.4208/cmaa.2024-0012","url":null,"abstract":". This paper studies an inverse problem of reconstructing the shape of the circular symmetric cone for the given leading shock front. Assuming that the attack angle is small and that the incoming flow has a large Mach Number, we show that the shape of the cone can be reconstructed near the vertex from the data of the given shock and establish an asymptotic expansion for the velocity and the slope of cone.","PeriodicalId":500157,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"13 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141406133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global Solution of Euler-Poisson System in the Inviscid Limit of Navier-Stokes-Poisson System with General Density Dependent Viscosities 具有一般密度粘性的纳维-斯托克斯-泊松系统粘性极限中的欧拉-泊松系统全局解法
Communications in Mathematical Analysis and Applications Pub Date : 2024-06-01 DOI: 10.4208/cmaa.2024-0010
Weiqiang Wang and Yong Wang
{"title":"Global Solution of Euler-Poisson System in the Inviscid Limit of Navier-Stokes-Poisson System with General Density Dependent Viscosities","authors":"Weiqiang Wang and Yong Wang","doi":"10.4208/cmaa.2024-0010","DOIUrl":"https://doi.org/10.4208/cmaa.2024-0010","url":null,"abstract":"","PeriodicalId":500157,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"249 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141401917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Two-Dimensional Steady Supersonic Relativistic Euler Flows Past Lipschitz Wedges 经过 Lipschitz Wedges 的二维稳定超音速相对论欧拉流
Communications in Mathematical Analysis and Applications Pub Date : 2024-06-01 DOI: 10.4208/cmaa.2024-0013
Min Ding and Yachun Li
{"title":"Two-Dimensional Steady Supersonic Relativistic Euler Flows Past Lipschitz Wedges","authors":"Min Ding and Yachun Li","doi":"10.4208/cmaa.2024-0013","DOIUrl":"https://doi.org/10.4208/cmaa.2024-0013","url":null,"abstract":"","PeriodicalId":500157,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"191 S531","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141413511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Incompressible Limit of the Equations of Compressible Ideal Magneto-Hydrodynamics with Perfectly Conducting Boundary 具有完美传导边界的可压缩理想磁流体力学方程的不可压缩极限
Communications in Mathematical Analysis and Applications Pub Date : 2024-06-01 DOI: 10.4208/cmaa.2024-0009
Paolo Secchi
{"title":"The Incompressible Limit of the Equations of Compressible Ideal Magneto-Hydrodynamics with Perfectly Conducting Boundary","authors":"Paolo Secchi","doi":"10.4208/cmaa.2024-0009","DOIUrl":"https://doi.org/10.4208/cmaa.2024-0009","url":null,"abstract":"We consider the initial-boundary value problem in the halfspace for the system of equations of ideal Magneto-Hydrodynamics with a perfectly conducting wall boundary condition. We show the convergence of solutions to the solution of the equations of incompressible MHD as the Mach number goes to zero. Because of the characteristic boundary, where a loss of regularity in the normal direction to the boundary may occur, the convergence is shown in suitable anisotropic Sobolev spaces which take account of the singular behavior at the boundary.","PeriodicalId":500157,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"54 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141395711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Note on Asymptotic Stability of Rarefaction Wave of the Impermeable Problem for Radiative Euler Flows 关于辐射欧拉流不渗透问题稀疏波渐近稳定性的一个注记
Communications in Mathematical Analysis and Applications Pub Date : 2023-10-01 DOI: 10.4208/cmaa.2023-0006
Lili Fan, Lizhi Ruan and Wei Xiang
{"title":"A Note on Asymptotic Stability of Rarefaction Wave of the Impermeable Problem for Radiative Euler Flows","authors":"Lili Fan, Lizhi Ruan and Wei Xiang","doi":"10.4208/cmaa.2023-0006","DOIUrl":"https://doi.org/10.4208/cmaa.2023-0006","url":null,"abstract":"","PeriodicalId":500157,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136127973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hamilton Dynamics in Chemical Reactions: the Maupertuis Principle, Transition Paths and Energy Landscape 化学反应中的汉密尔顿动力学:Maupertuis原理、过渡路径和能量景观
Communications in Mathematical Analysis and Applications Pub Date : 2023-06-01 DOI: 10.4208/cmaa.2023-0003
Yuan Gao and Yufan Zhou
{"title":"Hamilton Dynamics in Chemical Reactions: the Maupertuis Principle, Transition Paths and Energy Landscape","authors":"Yuan Gao and Yufan Zhou","doi":"10.4208/cmaa.2023-0003","DOIUrl":"https://doi.org/10.4208/cmaa.2023-0003","url":null,"abstract":"","PeriodicalId":500157,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"100 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135142997","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global Solutions of Nematic Liquid Crystal Flow in Dimension Two 二维向列液晶流动的整体解
Communications in Mathematical Analysis and Applications Pub Date : 2023-06-01 DOI: 10.4208/cmaa.2023-0004
Yuan Chen and Yong Yu
{"title":"Global Solutions of Nematic Liquid Crystal Flow in Dimension Two","authors":"Yuan Chen and Yong Yu","doi":"10.4208/cmaa.2023-0004","DOIUrl":"https://doi.org/10.4208/cmaa.2023-0004","url":null,"abstract":". In this article we are concerned with a simplified Ericksen-Leslie sys-tem on R 2 , whose bounded domain case was considered in [Lin et al. , Arch. Ration. Mech. Anal. 197 (2010), 297–336]. With a study of its vorticity-stream formulation, we establish a global existence result of weak solutions when initial orientation has finite energy and initial vorticity function lies in L 1 ( R 2 ) .","PeriodicalId":500157,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135142382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Short Wave-Long Wave Interactions in the Relativistic Context: Application to the Relativistic Euler Equations 相对论背景下短波-长波相互作用:在相对论欧拉方程中的应用
Communications in Mathematical Analysis and Applications Pub Date : 2023-06-01 DOI: 10.4208/cmaa.2023-0005
João Paulo Dias and Hermano Frid
{"title":"On Short Wave-Long Wave Interactions in the Relativistic Context: Application to the Relativistic Euler Equations","authors":"João Paulo Dias and Hermano Frid","doi":"10.4208/cmaa.2023-0005","DOIUrl":"https://doi.org/10.4208/cmaa.2023-0005","url":null,"abstract":"In this paper we introduce a model of relativistic short wave-long wave interaction where the short waves are described by the massless $1+3$-dimensional Thirring model of nonlinear Dirac equation and the long waves are described by the $1+3$-dimensional relativistic Euler equations. The interaction coupling terms are modeled by a potential proportional to the relativistic specific volume in the Dirac equation and an external force proportional to the square modulus of the Dirac wave function in the relativistic Euler equation. An important feature of the model is that the Dirac equations are based on the Lagrangian coordinates of the relativistic fluid flow. In particular, an important contribution of this paper is a clear formulation of the relativistic Lagrangian transformation. This is done by means of the introduction of natural auxiliary dependent variables, rendering the discussion totally similar to the non-relativistic case. As far as the authors know the definition of the Lagrangian transformation given in this paper is new. Finally, we establish the short-time existence and uniqueness of a smooth solution of the Cauchy problem for the regularized model. This follows through the symmetrization of the relativistic Euler equation introduced by Makino and Ukai (1995) and requires a slight extension of a well known theorem of T.~Kato (1975) on quasi-linear symmetric hyperbolic systems.","PeriodicalId":500157,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135143341","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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